Question

the mean entry level salary of an employee in a company is $58,000. he believes it is higher for it professionals in the company. state the null and alternative hypotheses.

○ h₀: μ = 58,000
hₐ: μ > 58,000

○ h₀: μ ≤ 58,000
hₐ: μ > 58,000

○ h₀: μ ≤ 58,000
hₐ: μ = 58,000

Explanation:

• The null hypothesis ($H_0$) is a statement of no difference or no effect. In hypothesis testing for a mean, when we are comparing to a known value, the null hypothesis often includes an equality.
• The alternative hypothesis ($H_a$) is what we are trying to find evidence for. Here, we believe the mean salary for IT professionals is higher than the general mean of $58,000$, so the alternative hypothesis is a one - sided (right - tailed) inequality.

Answer:

$H_0:\mu\leq58000$; $H_a:\mu > 58000$